225402300 has 108 divisors (see below), whose sum is σ = 737296560. Its totient is φ = 57488640.

The previous prime is 225402257. The next prime is 225402311. The reversal of 225402300 is 3204522.

It is a super-3 number, since 3×225402300³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15256 + ... + 26144.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2^225402300 is an apocalyptic number.

225402300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368648280).

225402300 is an abundant number, since it is smaller than the sum of its proper divisors (511894260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225402300 is a wasteful number, since it uses less digits than its factorization.

225402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225402300 is about 15013.4040110829. The cubic root of 225402300 is about 608.5824829611.

Adding to 225402300 its reverse (3204522), we get a palindrome (228606822).

The spelling of 225402300 in words is "two hundred twenty-five million, four hundred two thousand, three hundred".